GCD of 265, 915, 300, 249 Calculator

Given Input numbers are 265, 915, 300, 249

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Greatest Common Divisior

We found the divisors of 265, 915, 300, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 265, 915, 300, 249 is 1.

Therefore, GCD of numbers 265, 915, 300, 249 is 1

Given Input Data is 265, 915, 300, 249

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 265 is 5 x 53

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 249 is 3 x 83

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(265, 915) = 48495

GCD(265, 915) = ( 265 x 915 ) / 48495

GCD(265, 915) = 242475 / 48495

GCD(265, 915) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 300

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(5, 300) = 300

GCD(5, 300) = ( 5 x 300 ) / 300

GCD(5, 300) = 1500 / 300

GCD(5, 300) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 249

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(5, 249) = 1245

GCD(5, 249) = ( 5 x 249 ) / 1245

GCD(5, 249) = 1245 / 1245

GCD(5, 249) = 1

GCD of 265, 915, 300, 249 is 1

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• GCD of 998, 791, 836, 939
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1. What is the GCD of 265, 915, 300, 249?

GCD of 265, 915, 300, 249 is 1

2. Where do I get the detailed procedure to find GCD of 265, 915, 300, 249?

You can find a detailed procedure to find GCD of 265, 915, 300, 249 on our page.

3. How to find GCD of 265, 915, 300, 249 on a calculator?

You can find the GCD of 265, 915, 300, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.